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Superimposed optimization methods for the mixed equilibrium problem and variational inclusion

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Abstract

The purpose of this paper is to construct two superimposed optimization methods for solving the mixed equilibrium problem and variational inclusion. We show that the proposed superimposed methods converge strongly to a solution of some optimization problem. Note that our methods do not involve any projection.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China

    Yonghong Yao

  2. Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan

    Yeong-Cheng Liou

  3. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan

    Ngai-Ching Wong

Authors
  1. Yonghong Yao
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  2. Yeong-Cheng Liou
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  3. Ngai-Ching Wong
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Correspondence to Ngai-Ching Wong.

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Yao, Y., Liou, YC. & Wong, NC. Superimposed optimization methods for the mixed equilibrium problem and variational inclusion. J Glob Optim 57, 935–950 (2013). https://doi.org/10.1007/s10898-012-9982-4

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  • DOI: https://doi.org/10.1007/s10898-012-9982-4

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